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Finding the Fourth Proportional to 316,033.60, 474,309.60 and 305,665.60

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Solution

The fourth proportional to 316,033.60, 474,309.60 and 305,665.60 is: 458,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,033.60 : 474,309.60 = 305,665.60 : x
  2. Step 2: Convert to fraction form
    316,033.60/474,309.60 = 305,665.60/x
  3. Step 3: Cross multiply
    316,033.60x = 474,309.60 × 305,665.60
  4. Step 4: Simplify right side
    316,033.60x = 144,980,128,469.76
  5. Step 5: Solve for x
    x = 144,980,128,469.76/316,033.60
  6. Step 6: Final answer
    x = 458,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.